HWCE_1 - F applied horizontally to the right at the point...

Assignment for HW/CE#1, due Wednesday, Feb 3.1. Consider a pendulum system as shown below. Assume the angle θis small so that sin(θ)~ θ.Assume that the length of the massless rod is lmeters from the pivot point to the center of the mass m in kg. The force Fmay be assumed to be perfectly horizontal and constitutes an input to the system. Assume that the pivot point introduces friction modeled by a linear relationship with friction constant b.θF ma) Find matrices F, G, H, and scalar J for a state variable description of the system where θϖθ===yFuandxb) Find a transfer function G(s)relating the output yto the input F, i.e.)()()(sFssGθ=

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